Least Common Multiple of 975 and 976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 975 and 976 the smallest integer that is 951600 that is divisible by both numbers.

Least Common Multiple (LCM) of 975 and 976 is 951600.

LCM(975,976) = 951600

LCM of 975 and 976

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 975 and 976

LCM of 975 and 976 is 951600

Least common multiple can be found by multiplying the highest exponent prime factors of 975 and 976. First we will calculate the prime factors of 975 and 976.

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3, 5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

Prime Factorization of 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Now multiplying the highest exponent prime factors to calculate the LCM of 975 and 976.

LCM(975,976) = 24×31×52×131×611
LCM(975,976) = 951600

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Least Common Multiple of 975 and 976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 975 and 976, than apply into the LCM equation.

GCF(975,976) = 1
LCM(975,976) = ( 975 × 976) / 1
LCM(975,976) = 951600 / 1
LCM(975,976) = 951600

Properties of LCM 975 and 976

(i) The LCM of 976 and 975 is associative

LCM of 975 and 976 = LCM of 976 and 975

Related Least Common Multiples of 975

Related Least Common Multiples of 976

Frequently Asked Questions on LCM of 975 and 976

1. What is the LCM of 975 and 976?

Answer: LCM of 975 and 976 is 951600.

2. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

3. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

4. How to Find the LCM of 975 and 976?

Answer:

Least Common Multiple of 975 and 976 = 951600

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 951600 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 61

Step 4: Therefore, the least common multiple of 975 and 976 is 951600.